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Question

Data Interpretation Question on Data Sufficiency

Each item is followed by two statements A and B. Answer question using the instructions.
Each student in a class of 40 students voted for exactly one of the three candidates A, B or C for the post of class representative. Did candidate A receive the maximum votes from the 40 votes cast?
A. Candidate A received 11 of the votes.
B. Candidate C received 14 of the votes.

A

the question can be answered by one statement alone, but cannot be answered by using the other statement alone.

B

the question can be answered by using either statement alone.

C

the question can be answered by using both the statements together but cannot be answered by using either statement alone.

D

the question cannot be answered even by using both the statements together.

Answer

the question can be answered by one statement alone, but cannot be answered by using the other statement alone.

Explanation

Solution

Total number of students in class = 40
A): Candidate A received 11 of the votes Since, A received less than half the number of votes, then A did not receive the maximum number of votes. Thus, statement A alone is sufficient.
B): Candidate C received 14 of the votes
Now, A could have received more than 20 votes or even less than 14, since it cannot be determined, hence this statement alone is not sufficient.
The correct option is (A): If the question can be answered by one of the statements alone and not by the other